A267109 a(n) = A080791(A267111(n)).

0, 1, 0, 2, 1, 0, 1, 3, 2, 1, 0, 2, 1, 1, 2, 4, 3, 2, 1, 0, 3, 2, 1, 2, 1, 1, 3, 2, 2, 2, 3, 5, 4, 3, 2, 1, 0, 4, 3, 2, 1, 3, 2, 1, 2, 1, 1, 4, 3, 2, 3, 2, 2, 3, 2, 2, 2, 4, 3, 3, 3, 3, 4, 6, 5, 4, 3, 2, 1, 0, 5, 4, 3, 2, 1, 4, 3, 2, 1, 3, 2, 1, 2, 1, 1, 5, 4, 3, 2, 4, 3, 2, 3, 2, 2, 4, 3, 2, 3, 2, 2, 3, 2, 2, 2, 5, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3

Offset

1,4

Links

Antti Karttunen, Table of n, a(n) for n = 1..8192

Formula

a(1) = 0; for n > 1, if A265332(n) = 1 [when n is one of the terms of A088359], a(n) = a(A004001(n)-1), otherwise 1 + a(n) = a(n-A004001(n)).

a(n) = A080791(A267111(n)).

Other identities. For all n >= 1:

a(n) = A070939(n) - A267108(n).

Prog

(Scheme, with memoization-macro definec)
(definec (A267109 n) (cond ((<= n 1) 0) ((= 1 (A265332 n)) (A267109 (- (A004001 n) 1))) (else (+ 1 (A267109 (- n (A004001 n)))))))

Crossrefs

Cf. A004001, A070939, A080791, A088359, A265332, A267108, A267110, A267111.

Sequence in context: A118344 A343138 A119270 * A341524 A175804 A241063

Adjacent sequences: A267106 A267107 A267108 * A267110 A267111 A267112

Keyword

nonn

Author

Antti Karttunen, Jan 16 2016

Status

approved